Introduction to Probability and Statistics for Engineers and Scientists
324 Chapter 8:Hypothesis Testing If we letXdenote the number of defects in the sample of sizen, then it is clear that we wish to ...
8.6Hypothesis Tests in Bernoulli Populations 325 should be rejected. Now P.02{X≥ 10 }= 1 −P.02{X< 10 } = 1 − ∑^9 i= 0 ( 300 i ...
326 Chapter 8:Hypothesis Testing Suppose now that we want to test the null hypothesis thatpis equal to some specified value; tha ...
8.6Hypothesis Tests in Bernoulli Populations 327 8.6.1 Testing the Equality of Parameters in Two Bernoulli Populations Suppose t ...
328 Chapter 8:Hypothesis Testing whereXis a hypergeometric random variable with probability mass function P{X=i}= ( n 1 i )( n 2 ...
8.6Hypothesis Tests in Bernoulli Populations 329 The ideal way to test the hypothesis that the results of two different treatmen ...
330 Chapter 8:Hypothesis Testing 8.7 TESTS CONCERNING THE MEAN OF A POISSON DISTRIBUTION LetXdenote a Poisson random variable ha ...
8.7Tests Concerning the Mean of a Poisson Distribution 331 REMARK If Program 5.2 is not available, one can use the fact that a P ...
332 Chapter 8:Hypothesis Testing or P{Bin(n, 1/(1+c))≤x 1 }≤α/2 EXAMPLE 8.7b An industrial concern runs two large plants. If the ...
8.7Tests Concerning the Mean of a Poisson Distribution 333 To determine a test, note that each error can be classified as being ...
334 Chapter 8:Hypothesis Testing Problems.......................................................... Consider a trial in which a ...
Problems 335 is 5 psi. If a sample of 8 pieces of fiber yielded breakage at the following pressures, 210 198 195 202 197.4 196 1 ...
336 Chapter 8:Hypothesis Testing somatriptan, was that the mean time it takes for it to enter the bloodstream is less than 10 mi ...
Problems 337 was 1.0 seconds with a standard deviation of .3 seconds, can we conclude that alcohol affects the mean response tim ...
338 Chapter 8:Hypothesis Testing 23.An oil company claims that the sulfur content of its diesel fuel is at most .15 percent. To ...
Problems 339 If it is known that the measuring technique used at lake A has a variance of .09 whereas the one used at lake B has ...
340 Chapter 8:Hypothesis Testing when the population standard deviations areσ 1 =10and (a)σ 2 =5;(b)σ 2 = 10;(c)σ 2 = 20. 30.The ...
Problems 341 Smokers Nonsmokers 124 130 134 122 136 128 125 129 133 118 127 122 135 116 131 127 133 135 125 120 118 122 120 115 ...
342 Chapter 8:Hypothesis Testing salary of $46,400 and a sample standard deviation of $2,200, has the professor’s claim been ver ...
Problems 343 39.The following data summary was obtained from a comparison of the lead content of human hair removed from adult i ...
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